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Finding the Third Proportional to 263,672 and 546,037

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Solution

The third proportional to 263,672 and 546,037 is: 1,130,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,672 : 546,037 = 546,037 : x
  2. Step 2: Convert to fraction form
    263,672/546,037 = 546,037/x
  3. Step 3: Cross multiply
    263,672x = 546,037 × 546,037
  4. Step 4: Simplify right side
    263,672x = 298,156,405,369
  5. Step 5: Solve for x
    x = 298,156,405,369/263,672
  6. Step 6: Final answer
    x = 1,130,785.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.